Which graph represents f(x)=(x+2)^{2}-3 ?

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Accepted Answer

Step:1 ：The function (f(x)=(x+2)^{2}-3) is in the form (f(x)=(x-h)^{2}+k), where ((h,k)) is the vertex of the parabola.Step:2 ：In this case, the vertex is at ((-2,-3)).Step:3 ：The parabola opens upwards because the coefficient of ((x+2)^{2}) is positive.Step:4 ：The graph of the function (f(x)=(x+2)^{2}-3) is a parabola that opens upwards with its vertex at ((-2,-3)).Step:5 ：(boxed{text{Final Answer: The graph of the function } f(x)=(x+2)^{2}-3 text{ is a parabola that opens upwards with its vertex at } (-2,-3)})

Answer

Step: 1 ：The function (f(x)=(x+2)^{2}-3) is in the form (f(x)=(x-h)^{2}+k), where ((h,k)) is the vertex of the parabola.Step: 2 ：In this case, the vertex is at ((-2,-3)).Step: 3 ：The parabola opens upwards because the coefficient of ((x+2)^{2}) is positive.Step: 4 ：The graph of the function (f(x)=(x+2)^{2}-3) is a parabola that opens upwards with its vertex at ((-2,-3)).Step: 5 ：(boxed{text{Final Answer: The graph of the function } f(x)=(x+2)^{2}-3 text{ is a parabola that opens upwards with its vertex at } (-2,-3)})

Which graph represents $f(x)=(x+2)^{2}-3$ ?

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